Homogeneous Cooling with Repulsive and Attractive Long-Range Potentials

Müller, Micha-Klaus; Luding, Stefan

doi:10.1051/mmnp/20116406

Cited by 12 publications

(33 citation statements)

References 67 publications

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“…We solve the mean-field temperature evolution problem with the addition of short-range attractive potentials, building on the long-range results of Müller and Luding 12 for dilute systems. The main difference between the approach developed in this work and that of Müller and Luding 12 is the form of the final ordinary differential equation (ODE) governing the decay of kinetic energy.…”

Section: Introductionmentioning

confidence: 99%

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Freely cooling granular gases with short-ranged attractive potentials

Murphy

Subramaniam

2015

Physics of Fluids

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We treat the case of an undriven gas of inelastic hard-spheres with short-ranged attractive potentials via an extension of the pseudo-Liouville operator formalism. New evolution equations for the granular temperature and coordination number are obtained. The granular temperature exhibits deviation from both Haff's law and the case of long-ranged potentials. We verify this departure using soft-sphere discrete element method simulations. Excellent agreement is found for the duration of the simulation even beyond where exclusively binary collisions are expected. Simulations show the emergence of strong spatial-velocity correlations on the length scale of the last peak in the pair-correlation function but do not show strong correlations beyond this length scale. We argue that molecular chaos may remain an adequate approximation if the system is modelled as a Smoluchowski type equation with aggregation and break-up processes. C 2015 AIP Publishing LLC.

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Section: Introductionmentioning

confidence: 99%

“…One approach has been to focus on systems where sticking does not occur 12 and treat weaker long-range interactions. An alternative approach is to treat the sticking systems with aggregation and break-up processes.…”

Section: Introductionmentioning

confidence: 99%

Freely cooling granular gases with short-ranged attractive potentials

Murphy

Subramaniam

2015

Physics of Fluids

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“…We were thus able to produce a macroscopic system whose distance to the quasielastic limit could be precisely controlled through the applied magnetic field. We may also wonder how the results found here with repulsive dipolar interactions can be generalised for other interaction potentials, like the Coulombian one [22,23].…”

mentioning

confidence: 99%

“…To our knowledge, the influence of dipolar interactions on the particle velocity distributions has only been studied in a case dominated by attractive interactions [21]. Free-cooling of 3D granular gases with electrostatic repulsions has also been investigated theoretically and numerically [22,23]. In our experiment, we start from the well studied case of a twodimensional granular gas [8,9] where mechanical agitation is provided to the particles by the vibration of a horizon- tal rough bottom plate.…”

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confidence: 99%

Transition from a dissipative to a quasi-elastic system of particles with tunable repulsive interactions

Merminod¹,

Berhanu²,

Falcon³

2014

EPL

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-A two-dimensional system of particles with tunable repulsive interactions is experimentally investigated. Soft ferromagnetic particles are placed on a vibrating rough plate and vertically confined, so that they perform a horizontal Brownian motion in a cell. When immersed in an external vertical magnetic field, the particles become magnetised and thus interact according to a dipolar repulsive law. As the amplitude of the magnetic field is increased, magnetic repulsion raises and the rate of inelastic collisions decreases. Studying the pair correlation function and the particle velocity distributions, we show that the typical properties of such a dissipative out-of-equilibrium granular gas are progressively lost, to approach those expected for a usual gas at thermodynamic equilibrium. For stronger interaction strengths, the system gradually solidifies towards a hexagonal crystal. This new setup could consequently be used as a model experimental system for out-of-equilibrium statistical physics, in which the distance to the quasi-elastic limit can be accurately controlled.

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“…There exist some studies on the kinetic theory of gas molecules having the square well potential [43][44][45][46][47][48] in which, the collision processes are categorized into four processes: (i) hard core collisions, (ii) entering processes, (iii) leaving processes from the well, and (iv) trapping processes by the well [45,46,49]. Note that most of previous works study gases without dissipations in collisions except for some recent papers [50,51], which do not discuss the transport coefficients. It should also be noted that some papers developed the kinetic theory based on different models for cohesion [52,53].…”

Section: Introductionmentioning

confidence: 99%